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Finding the Fourth Proportional to 132,350.10, 198,524.77 and 37,580.41

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Solution

The fourth proportional to 132,350.10, 198,524.77 and 37,580.41 is: 56,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,350.10 : 198,524.77 = 37,580.41 : x
  2. Step 2: Convert to fraction form
    132,350.10/198,524.77 = 37,580.41/x
  3. Step 3: Cross multiply
    132,350.10x = 198,524.77 × 37,580.41
  4. Step 4: Simplify right side
    132,350.10x = 7,460,641,500.65
  5. Step 5: Solve for x
    x = 7,460,641,500.65/132,350.10
  6. Step 6: Final answer
    x = 56,370.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.